Part 1. A car is driving down the highway at 30 m/s. Out of a single thundercloud, a raindrop falls straight downward at 40 m/s. The raindrop strikes the side window of the car skimming from one edge of the glass to the other.

Q1: Ignore the effect of drag, gravity and surface tension. Sketch this situation.

Q2: What is the velocity (speed and angle) of the raindrop as it moves across the glass? Describe this mathematically and in your own words.

Part 2. There are three ropes suspending a metal ring in the air. The ring is positioned horizontally over a flat surface, but is not in contact with the surface. Shown below is a view of the ring from above. Two forces, F_a and F_b are specified below. One additional force, F_c, has not been shown.

F_a has a magnitude of 7 N, 23^o above the positive x-axis.
F_b has a magnitude of 11 N, 40^o below the positive x-axis.

Q3: Determine the magnitude and direction of F_c such that the ring stays stationary. Ignore the force of gravity.

Q4: Sketch all three forces, and describe them in your own words.